## Found 126 Documents (Results 1–100)

100
MathJax

Full Text:

Full Text:

### Some remarks on solvability of Dirichlet problem for Laplace equation in non-standard function spaces. (English)Zbl 07524872

MSC:  35J05 35J25 35A01
Full Text:

Full Text:

### A Dirichlet problem for the Laplace operator in a domain with a small hole close to the boundary. (English. French summary)Zbl 1398.35020

MSC:  35J05 35J25
Full Text:

### Estimates of the Green function and the initial-Dirichlet problem for the heat equation in sub-Riemannian spaces. (English)Zbl 1400.35155

MSC:  35K20 31C05 35C15
Full Text:

### On the existence of mosaic-skeleton approximations for discrete analogues of integral operators. (English. Russian original)Zbl 1381.65095

Comput. Math. Math. Phys. 57, No. 9, 1404-1415 (2017); translation from Zh. Vychisl. Mat. Mat. Fiz. 57, No. 9, 1421-1432 (2017).
MSC:  65N38 65F10 35J05
Full Text:

### Dirichlet and Neumann problems for Poisson equation in half Lens. (English)Zbl 1369.30040

J. Contemp. Math. Anal., Armen. Acad. Sci. 52, No. 2, 61-69 (2017) and Izv. Nats. Akad. Nauk Armen., Mat. 52, No. 2, 53-64 (2017).
MSC:  30E25 35J25
Full Text:

Full Text:

### Harmonic Dirichlet problem in a ring sector. (English)Zbl 1323.31004

Mityushev, Vladimir V. (ed.) et al., Current trends in analysis and its applications. Proceedings of the 9th ISAAC congress, Kraków, Poland, August 5–9, 2013. Cham: Birkhäuser/Springer (ISBN 978-3-319-12576-3/pbk; 978-3-319-12577-0/ebook). Trends in Mathematics. Research Perspectives, 67-75 (2015).
Full Text:

Full Text:

Full Text:

### Foundations of the complex variable boundary element method. (English)Zbl 1295.65094

SpringerBriefs in Applied Sciences and Technology. Cham: Springer (ISBN 978-3-319-05953-2/pbk; 978-3-319-05954-9/ebook). xii, 80 p. (2014).
Full Text:

### Biharmonic Green function and biharmonic Neumann function in a sector. (English)Zbl 1266.30026

MSC:  30E25 31A30 35G40
Full Text:

Full Text:

### The spectrum asymptotics for the Dirichlet problem in the case of the biharmonic operator in a domain with highly indented boundary. (English. Russian original)Zbl 1232.31001

St. Petersbg. Math. J. 22, No. 6, 941-983 (2011); translation from Algebra Anal. 22, No. 6, 127-184 (2010).
MSC:  31A25 31A30 35P20
Full Text:

Full Text:

### Exterior Dirichlet-Hilbert problem of polyanalytic function. (English)Zbl 1252.30028

Le Hung Son (ed.) et al., Algebraic structures in partial differential equations related to complex and Clifford analysis. Based on the selected lectures of the 17th international conference on finite and infinite dimensional complex analysis and applications, Ho Chi Minh City, Vietnam, August 3–7, 2009. Ho Chi Minh City: Ho Chi Minh City University of Education Press (ISBN 978-604-918-001-9/hbk). 163-173 (2010).

### Application of Radon transform for fast solution of boundary value problems for elliptic PDE in domains with complicated geometry. (English)Zbl 1215.65182

Olshevsky, Vadim (ed.) et al., Matrix methods. Theory, algorithms and applications. Dedicated to the memory of Gene Golub. Based on the 2nd international conference on matrix methods and operator equations, Moscow, Russia, July 23–27, 2007. Hackensack, NJ: World Scientific (ISBN 978-981-283-601-4/hbk). 474-481 (2010).

Full Text:

### Method of boundary integral equations as applied to the numerical solution of the three dimensional Dirichlet problem for the Laplace equation in a piecewise homogeneous medium. (Russian, English)Zbl 1224.35078

Zh. Vychisl. Mat. Mat. Fiz. 49, No. 7, 1197-1206 (2009); translation in Comput. Math., Math. Phys. 49, No. 7, 1141-1150 (2009).
MSC:  35J05 35J08 35J25
Full Text:

### Harmonic boundary value problems in half disc and half ring. (English)Zbl 1183.30039

Reviewer: Mugur Acu (Sibiu)
MSC:  30E25 31A25 35J25
Full Text:

Full Text:

Full Text:

Full Text:

### A Dirichlet problem for the imhomogeneous polyharmonic equation in the upper half plane. (English)Zbl 1141.31001

MSC:  31A30 31A25 30E25

### On the compression of low rank matrices. (English)Zbl 1083.65042

MSC:  65F30 15A23 65R20 35J05 65N38 45E10
Full Text:

### Artificial boundary conditions providing superpolynomial error estimates for the Neumann problem in a layered domain. (Russian, English)Zbl 1136.65350

Zh. Vychisl. Mat. Mat. Fiz. 43, No. 10, 1475-1486 (2003); translation in Comput. Math. Math. Phys. 43, No. 10, 1418-1429 (2003).
MSC:  65N45 35J25

### Spline approximation methods for the biharmonic Dirichlet problem on non-smooth domains. (English)Zbl 1020.65092

Böttcher, Albrecht (ed.) et al., Toeplitz matrices and singular integral equations. The Bernd Silbermann anniversary volume. Basel: Birkhäuser. Oper. Theory, Adv. Appl. 135, 145-160 (2002).

Full Text:

Full Text:

### Two-parameter asymptotics in a boundary value problem for the Laplacian. (English. Russian original)Zbl 1140.35544

Math. Notes 70, No. 4, 471-485 (2001); translation from Mat. Zametki 70, No. 4, 520-534 (2001).
MSC:  35P05 35J05
Full Text:

### On the convergence of a new Newton-type method in inverse scattering. (English)Zbl 0985.35111

MSC:  35R30 35J05 65J22
Full Text:

### On the inverse problem for the Grad-Shafranov equation with affine right-hand side. (English. Russian original)Zbl 1011.35131

Russ. Math. Surv. 55, No. 6, 1141-1142 (2000); translation from Usp. Mat. Nauk 55, No. 6, 131-132 (2000).
MSC:  35R30 35J05 35P05
Full Text:

### Dirichlet problem for axisymmetric potential fields in a disk of the meridian plane. I, II. (English. Russian original)Zbl 0978.31001

Ukr. Math. J. 52, No. 4, 564-585 (2000); No. 6, 856-867 (2000); translation from Ukr. Mat. Zh. 52, No. 4, 492-511 (2000); No. 6, 748-757 (2000).
Full Text:

### Diagonal scaling of stiffness matrices in the Galerkin boundary element method. (English)Zbl 0966.65092

MSC:  65N38 35J05 65F35
Full Text:

Full Text:

Full Text:

### Polynomial collocation methods for 1D integral equations with nonsmooth solutions. (English)Zbl 0937.65143

Bonnet, M. (ed.) et al., Mathematical aspects of boundary element methods. Minisymposium during the IABEM 98 conference, dedicated to Vladimir Maz’ya on the occasion of his 60th birthday on 31st December 1997, Paris, France, 1998. Boca Raton, FL: Chapman & Hall/CRC. Chapman Hall/CRC Res. Notes Math. 414, 227-239 (2000).

### A reflection principle and its applications. (English)Zbl 0949.30030

Begehr, Heinrich G. W. (ed.) et al., Complex methods for partial differential equations. Collection of manuscripts originating from talks and lectures given at the workshop on recent trends in complex methods for partial differential equations, Ankara, Turkey, July 6-10, 1998. Dordrecht: Kluwer Academic Publishers. Int. Soc. Anal. Appl. Comput. 6, 1-19 (1999).
MSC:  30E25 31A25 35J05

### A method for determining the roots of some classes of equations with analytic functions and its applications. (English. Russian original)Zbl 0973.30008

Sib. Math. J. 40, No. 5, 981-990 (1999); translation from Sib. Mat. Zh. 40, No. 5, 1157-1166 (1999).
MSC:  30C15 30D05 35J05
Full Text:

Full Text:

### A sinc quadrature method for the double-layer integral equation in planar domains with corners. (English)Zbl 0916.65135

Reviewer: I.V.Boikov (Penza)
Full Text:

Full Text:

### Quadratures for boundary integral equations of the first kind with logarithmic kernels. (English)Zbl 0888.65122

Reviewer: O.Titow (Berlin)
Full Text:

### Extrapolation of linear operators acting from $$L_p$$ into Orlicz spaces generated by $$N$$-functions of slow or fast growth. (Russian)Zbl 0917.46020

Chuvakov, V. P. (ed.), Current problems of modern mathematics. Collection of scientific works. Vol. 2. Novosibirsk: NII MIOO NGU. 95-103 (1996).
MSC:  46E30 47B38

### Solving boundary value problems with complex parameters by the Monte Carlo method. (English. Russian original)Zbl 0878.65116

Sib. Math. J. 37, No. 4, 775-781 (1996); translation from Sib. Mat. Zh. 37, No. 4, 881-888 (1996).
Reviewer: J.Antoch (Praha)
Full Text:

### On an algebra of a certain class of operators in a slab domain in $$\mathbb{R}^ 2$$. (English)Zbl 0885.35153

MSC:  35S15 35J05
Full Text:

### Iterative solution of Dirichlet nonlinear problem by application of the Helmholtz equation. (English)Zbl 0849.65095

Reviewer: I.Dimov (Sofia)
MSC:  65Z05 35J65 65C05
Full Text:

### Global estimate of the solution of the Dirichlet problem for the Helmholtz $$n$$-dimensional equation by the Monte Carlo method. (English)Zbl 0849.65094

Reviewer: I.Dimov (Sofia)
Full Text:

Full Text:

Full Text:

### Optimal rates of convergence of some iterative approximation methods for the solution of Fredholm equations in spaces of periodic analytic functions. (English. Russian original)Zbl 0851.65092

Ukr. Math. J. 46, No. 9, 1327-1335 (1994); translation from Ukr. Mat. Zh. 46, No. 9, 1208-1215 (1994).
Full Text:

### On eigenfrequencies of bodies with thin branches. II: Asymptotics. (English. Russian original)Zbl 0839.35091

Math. Notes 55, No. 1, 14-23 (1994); translation from Mat. Zametki 55, No. 1, 20-34 (1994).
MSC:  35P20 35J05
Full Text:

### On an approximate solution of the Dirichlet problem for the generalized Laplacian. (English)Zbl 0812.35170

MSC:  35S05 35J05 35S15
Full Text:

Full Text:

### A BEM approach for grounding grid computation. (English)Zbl 0837.65132

Brebbia, C. A. (ed.), Boundary element method XVI. 16th international boundary element method conference, Southampton, GB, 12-15 July 1994. Vol. 1. Southampton: Computational Mechanics Publications. 117-124 (1994).

Full Text:

### On a quadrature method for a logarithmic integral equation of the first kind. (English)Zbl 0834.65134

Agarwal, R. P. (ed.), Contributions in numerical mathematics. Singapore: World Scientific Publishing Co. World Sci. Ser. Appl. Anal. Vol. 2, 127-140 (1993).

### Regularity of functions with values in Clifford algebra based on a generalized axially symmetric potential theory operator. (English)Zbl 0839.31005

Brackx, F. (ed.) et al., Clifford algebras and their applications in mathematical physics. Proceedings of the third conference held at Deinze, Belgium, 1993. Dordrecht: Kluwer Academic Publishers. Fundam. Theor. Phys. 55, 159-166 (1993).

### Near and far scattering field of a low-frequency plane harmonic wave by a rough half-plane. (English)Zbl 0818.35075

Kleinman, Ralph (ed.) et al., Mathematical and numerical aspects of wave propagation. Proceedings of the 2nd international conference held in Newark, DE, USA, June 7-10, 1993. Philadelphia, PA: SIAM. 426-435 (1993).
MSC:  35P25 78A45 35J05

### On the problem of numerical solution of the Dirichlet problem by a harmonic single-layer potential (algorithms without saturation). (English. Russian original)Zbl 0814.65122

Russ. Acad. Sci., Dokl., Math. 47, No. 2, 252-256 (1993); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 329, No. 4, 392-395 (1993).

Full Text:

### Singularity functions at axisymmetric edges and their representation by Fourier series. (English)Zbl 0823.35040

Reviewer: N.Jacob (München)
MSC:  35J05 35D10 42B99
Full Text:

### Verified solution of the integral equations for the two-dimensional Dirichlet and Neumann problem. (English)Zbl 0837.65142

Albrecht, R. (ed.) et al., Validation numerics: theory and applications. Dedicated to Ulrich Kulisch on the occasion of his 60th birthday. Wien: Springer-Verlag. Comput. Suppl. 9, 33-43 (1993).

Full Text:

Full Text:

Full Text:

### Potential space estimates for Green potentials in convex domains. (English)Zbl 0789.35047

Reviewer: I.Vrabie (Iaşi)
MSC:  35J25 35B65 35J05
Full Text:

### Monte-Carlo and averaging methods for biharmonic Dirichlet problem. (Japanese. English summary)Zbl 0805.65117

Natori, M. (ed.) et al., Parallel processing for scientific computing. Proceedings of the 9th PCG symposium, held at Keio University, Tokyo, Japan, on March 2nd, 1993. Tokyo: Keio University, Adv. Numer. Methods Large Sparse Sets Linear Equations. 9, 56-61 (1993).

Full Text:

Full Text:

Full Text:

### Approximate solution of Laplace’s equation by the block method on polygons under nonanalytic boundary conditions. (English. Russian original)Zbl 0801.65103

Proc. Steklov Inst. Math. 194, 65-90 (1993); translation from Tr. Mat. Steklova 194, 63-88 (1992).
MSC:  65N30 35J05

### Ramification of a multiple eigenvalue of the Dirichlet problem for the Laplacian under singular perturbation of the boundary condition. (English. Russian original)Zbl 0816.35093

Math. Notes 52, No. 4, 1020-1029 (1992); translation from Mat. Zametki 52, No. 4, 42-55 (1992).
MSC:  35P15 35J05 35B25
Full Text:

### On the character of the continuity, on the boundary of a nonsmooth region, of a generalized solution of the Dirichlet problem for the biharmonic equation. (English)Zbl 0724.31001

MSC:  31A30 31A25 35J40
Full Text:

### The numerical solution of first-kind logarithmic-kernel integral equations on smooth open arcs. (English)Zbl 0713.65097

Reviewer: M.Schleiff
Full Text:

### Method of R-functions and the method of integral equations for the solution of problems in mathematical physics. (English. Russian original)Zbl 0788.65106

Differ. Equations 27, No. 12, 1536-1539 (1991); translation from Differ. Uravn. 27, No. 12, 2147-2151 (1991).

### Discrete norms for the convergence of boundary element methods. (English)Zbl 0736.65079

Theoretical and numerical aspects of geometric variational problems, Proc. Workshop, Canberra/Australia 1990, Proc. Cent. Math. Anal. Aust. Natl. Univ. 26, 62-78 (1991).
Reviewer: S.Ogawa (Hyogo)

### Inclusion methods for Fredholm integral equations with applications to boundary value problems in potential theory. (English)Zbl 0739.65110

Direct and inverse boundary value problems, Pap. 12th Conf. Methods Techniques Math. Phys., Oberwolfach/Ger. 1989, Methoden Verfahren Math. Phys. 37, 57-66 (1991).

### An improved boundary element method for the charge density of a thin electrified plate in $${\mathbb{R}}^ 3$$. (English)Zbl 0717.65093

Reviewer: J.A.Crow
Full Text:

### On the character of continuity on the boundary of a nonsmooth domain of a generalized solution of the Dirichlet problem for the biharmonic equation. (Russian)Zbl 0702.31002

Reviewer: P. A. Meyer
MSC:  31A30 31A25 35J40

### An adapted Galerkin method for the resolution of Dirichlet and Neumann problems in a polygonal domain. (English)Zbl 0697.65085

Reviewer: J.Vaníček
Full Text:

### The behavior of solutions of the equation $$\Delta u=-1$$ in convex domains. (English. Russian original)Zbl 0692.35036

Sov. Math., Dokl. 39, No. 1, 112-114 (1989); translation from Dokl. Akad. Nauk SSSR 304, No. 3, 546-548 (1989).
Reviewer: Li Mingzhong

### The properties of the matrix arising from collocation method for boundary integral equations. (English)Zbl 0691.65079

Reviewer: C.I.Gheorghiu

### The delta-trigonometric method using the single-layer potential representation. (English)Zbl 0689.65067

Reviewer: I.Evzerov
Full Text:

### An iterative variant of the Nyström method for boundary integral equations on non smooth boundaries. (English)Zbl 0688.65067

The mathematics of finite elements and applications VI, MAFELAP 1987, Proc. 6th Conf., Uxbridge/UK 1987, 297-303 (1988).
Reviewer: F.Ribière-Michaud

### Das Dirichletproblem für den polyharmonischen Operator in $$C^ 1$$- Gebieten der Ebene. (Dirichlet’s problem for the polyharmonic operator in $$C^ 1$$-domains in the plane). (German)Zbl 0658.31004

MSC:  31A30 35J40

### Invariance of the Fredholm radius of an operator in potential theory. (English)Zbl 0657.31004

MSC:  31A25 35J05
Full Text:

### Stress intensity factors and improved convergence estimates at a corner. (English)Zbl 0622.65112

Reviewer: C.A.de Moura
Full Text:

### Boundary value problems in domains with a curvilinear boundary. (Kraevye zadachi v oblastyakh s krivolinejnoj granitsej.) (Russian)Zbl 0698.35007

Moskva: Vychislitel’nyj Tsentr AN SSSR. 272 p. R. 0.70 (1987).
Reviewer: M.Dont

Full Text:

### Monte Carlo techniques in finite element method for elliptic equations. (English)Zbl 0641.65087

Reviewer: M.Cugiani

### Numerical solution of the exterior Dirichlet problem by means of a second kind Fredholm integral equation. (English)Zbl 0636.65121

Analysis, Proc. 1st Conf., Mérida/Venez. 1986, 261-275 (1986).
Reviewer: J.C.F.Telles

all top 5

all top 5

all top 5

all top 3

all top 3